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Finding the Fourth Proportional to 57,009.48, 85,514.40 and 33,619.50

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Solution

The fourth proportional to 57,009.48, 85,514.40 and 33,619.50 is: 50,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.48 : 85,514.40 = 33,619.50 : x
  2. Step 2: Convert to fraction form
    57,009.48/85,514.40 = 33,619.50/x
  3. Step 3: Cross multiply
    57,009.48x = 85,514.40 × 33,619.50
  4. Step 4: Simplify right side
    57,009.48x = 2,874,951,370.80
  5. Step 5: Solve for x
    x = 2,874,951,370.80/57,009.48
  6. Step 6: Final answer
    x = 50,429.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.